弹性地基上非对称多孔功能梯度材料夹层板的自由振动

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (10) : 156-163.

论文

黄志诚1，韩梦娜1，王兴国1，褚福磊2

作者信息 +

Free vibration of asymmetric porous functionally graded material sandwich plates on elastic foundations

HUANG Zhicheng1，HAN Mengna1，WANG Xingguo1，CHU Fulei2

Author information +

文章历史 +

摘要

基于精细剪切变形理论研究了弹性地基上的非对称多孔功能梯度材料（FGM）夹层板的自由振动。结合该理论提出了一种新的非对称多孔FGM夹层板在弹性地基上的自由振动模型，且该模型只包含四个未知变量。控制方程是通过Hamilton原理建立的，并通过Navier法获得了其在四边简支下的固有频率。将模型退化为无弹性地基的非对称FGM夹层板以验证模型的准确性。最后详细讨论了参数变化对弹性地基上的非对称多孔FGM夹层板的自由振动行为的影响。研究发现，在不同的弹性系数下，非对称多孔FGM夹层板的固有频率会随着边厚比的增加而增加，而体积分数指数的增加对于不同弹性系数下的非对称多孔FGM夹层板的固有频率有不一样的变化。

Abstract

Based on the refine shear deformation theory, the free vibration of asymmetric porous functionally graded material(FGM) sandwich plates on elastic foundations is studied. A new free vibration model for asymmetric porous FGM sandwich plates on elastic foundations is proposed based on this theory, and the model only contains four unknown variables. The governing equation is established using the Hamilton’s principle and natural frequency of sandwich plate is obtained using the Navier method under four simple supports. The model is degraded into an asymmetric FGM sandwich plate on an inelastic foundation to verify the accuracy of the model. Finally, the influence of parameter changes on the free vibration behavior of asymmetric porous FGM sandwich plates on elastic foundations is discussed in detail. We have found that the natural frequency of asymmetric porous FGM sandwich plates increases with the increase of side-to-thickness ratio under different elastic coefficients, while its has different changes with the increase of volume fraction index under different elastic coefficients.

导出引用

黄志诚1，韩梦娜1，王兴国1，褚福磊2. 弹性地基上非对称多孔功能梯度材料夹层板的自由振动[J]. 振动与冲击, 2024, 43(10): 156-163

HUANG Zhicheng1，HAN Mengna1，WANG Xingguo1，CHU Fulei2. Free vibration of asymmetric porous functionally graded material sandwich plates on elastic foundations[J]. Journal of Vibration and Shock, 2024, 43(10): 156-163

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